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Matrix Polynomials (Classics in Applied Mathematics) Book

Matrix Polynomials (Classics in Applied Mathematics)
Matrix Polynomials (Classics in Applied Mathematics), This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomial, Matrix Polynomials (Classics in Applied Mathematics) has a rating of 3 stars
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Matrix Polynomials (Classics in Applied Mathematics), This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomial, Matrix Polynomials (Classics in Applied Mathematics)
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  • Matrix Polynomials (Classics in Applied Mathematics)
  • Written by author I. Gohberg, P. Lancaster, L. Rodman
  • Published by SIAM, 6/28/2009
  • This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomial
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Preface to the Classics Edition; Preface; Errata; Introduction; Part I. Monic Matrix Polynomials: 1. Linearization and standard pairs; 2. Representation of monic matrix polynomials; 3. Multiplication and divisibility; 4. Spectral divisors and canonical factorization; 5. Perturbation and stability of divisors; 6. Extension problems; Part II. Nonmonic Matrix Polynomials: 7. Spectral properties and representations; 8. Applications to differential and difference equations; 9. Least common multiples and greatest common divisors of matrix polynomials; Part III. Self-Adjoint Matrix Polynomials: 10. General theory; 11. Factorization of self-adjoint matrix polynomials; 12. Further analysis of the sign characteristic; 13: Quadratic self-adjoint polynomials; Part IV. Supplementary Chapters in Linear Algebra: S1. The Smith form and related problems; S2. The matrix equation AX – XB = C; S3. One-sided and generalized inverses; S4. Stable invariant subspaces; S5. Indefinite scalar product spaces; S6. Analytic matrix functions; References; List of notation and conventions; Index.


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Matrix Polynomials (Classics in Applied Mathematics), This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomial, Matrix Polynomials (Classics in Applied Mathematics)

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Matrix Polynomials (Classics in Applied Mathematics), This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomial, Matrix Polynomials (Classics in Applied Mathematics)

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Matrix Polynomials (Classics in Applied Mathematics), This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomial, Matrix Polynomials (Classics in Applied Mathematics)

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